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Generalized Krein Parameters of a Strongly Regular Graph

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http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52958#.VK3oXMnQrzE

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ABSTRACT
We consider the real three-dimensional Euclidean Jordan algebra associated to a strongly regular graph. Then, the Krein parameters of a strongly regular graph are generalized and some generalized Krein admissibility conditions are deduced. Furthermore, we establish some relations between the classical Krein parameters and the generalized Krein parameters.
 
Cite this paper
Vieira, L. and Mano, V. (2015) Generalized Krein Parameters of a Strongly Regular Graph. Applied Mathematics, 6, 37-45. doi: 10.4236/am.2015.61005.
 
References
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[3]Massan, H. and Neher, E. (1998) Estimation and Testing for Lattice Conditional Independence Models on Euclidean Jordan Algebras. Annals of Statistics, 26, 1051-1082.
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[6]Cardoso, D.M. and Vieira, L.A. (2004) Euclidean Jordan Algebras with Strongly Regular Graphs. Journal of Mathematical Sciences, 120, 881-894.
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[7]Koecher, M. (1999) The Minnesota Notes on Jordan Algebras and Their Applications. Krieg, A. and Walcher, S., Eds., Springer, Berlin.
 
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[14]Brower, A.E. and Haemers, W.H. (1995) Association Schemes. In: Grahm, R., Grotsel, M. and Lovász. L., Eds., Handbook of Combinatorics, Elsevier, Amsterdam, 745-771.                                                eww150108lx
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